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	Lesson Plan for Comparing and Ordering Rational Numbers
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	DISTANCE,CIRCLES,AND QUADRATIC EQUATIONS
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	Quadratic and Rational Inequalit
	Applications of Systems of Linear Equations in Two Variables
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	Test Description for RATIONAL EX
	Exponential and Logarithmic Equations
	Systems of Linear Equations: Cramer's Rule
	Introduction to Systems of Linear Equations
	Literal Equations & Formula
	Equations and Inequalities with Absolute Value
	Rational Expressions
	SOLVING LINEAR AND QUADRATIC EQUATIONS
	Steepest Descent for Solving Linear Equations
	The Quadratic Equation
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Solve Two-Step Equations

Goal: Solve two-step equations.

Your Notes

IDENTIFYING OPERATIONS

Identify the operations involved in the equation

Operations performed on x	Operations to isolate x
1. Multiply by 3 . 2. Add 7 .	1. Subtract 7 . 2. Divide by 3 .

Example 1 Multiple Choice Practice

What is the value of x if

Solution

	Write original equation.
	Subtract 7 from each side.
	Simplify.
	Divide each side by 3 .
	Simplify
The correct answer is A .
CHECK
	Write original equation
	Substitute 4 for x.
	Multiply 3 by 4.
	Simplify. Solution checks.

Your Notes

Guided Practice Solve the two-step equation. Check your solution.

Example 2 Solve a two-step equation by combining like terms

Solve 4a + 3a = 63.

Solution

	Write original equation.
	Combine like terms.
	Divide each side by 7 .
	Simplify.

Guided Practice Solve the equation. Check your solution.

Your Notes

Example 3 Write an equation and solve

The value of y is 2 more than 4 times the value of x. Find x when y = 14.

Solution

Step 1 Write an equation
	y is 2 more than 4 times x.
Step 2 Solve the equation for x when y = 14.
	Write original equation.
	Substitute 14 for y.
	Subtract 2 from each side.
	Simplify.
	Divide each side by 4 .
	Simplify.
The value of x is 3 when y = 14 .
CHECK
	Write original function
	Substitute 14 for y and 3 for x
	Multiply 4 and 3 .
	Simplify. Solution checks.

Guided Practice Solve the equation. Check your solution.

Homework

7. The value of y is 3 less than 6 times the value of x.
Find x when y = 15.

x = 3

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